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Finding the Third Proportional to 356,744 and 779,824

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Solution

The third proportional to 356,744 and 779,824 is: 1,704,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,744 : 779,824 = 779,824 : x
  2. Step 2: Convert to fraction form
    356,744/779,824 = 779,824/x
  3. Step 3: Cross multiply
    356,744x = 779,824 × 779,824
  4. Step 4: Simplify right side
    356,744x = 608,125,470,976
  5. Step 5: Solve for x
    x = 608,125,470,976/356,744
  6. Step 6: Final answer
    x = 1,704,655.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.